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Mixing of Landau levels has been understood to be essential in governing the nature of the ground state for the even-denominator fractional quantum Hall effect. The incompressibility of the ground state at filling factor $5/2$ in the strong…

Strongly Correlated Electrons · Physics 2021-10-01 Wenchen Luo , Shenglin Peng , Hao Wang , Yu Zhou , Tapash Chakraborty

Even though composite fermions in the fractional quantum Hall liquid are well established, it is not yet known up to what energies they remain intact. We probe the high-energy spectrum of the 1/3 liquid directly by resonant inelastic light…

We consider the two lowest Landau levels at half filling. In the higher Landau level (nu =5/2), we find a first order phase transition separating a compressible striped phase from a paired quantum Hall state, which is identified as the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. H. Rezayi , F. D. M. Haldane

Half-filled Landau levels host an emergent Fermi-liquid which displays an instability towards pairing, culminating in a gapped even-denominator fractional quantum Hall ground state. While this pairing may be probed by tuning the…

Mesoscale and Nanoscale Physics · Physics 2019-02-19 J. Falson , D. Tabrea , D. Zhang , I. Sodemann , Y. Kozuka , A. Tsukazaki , M. Kawasaki , K. von Klitzing , J. H. Smet

Fractional quantum Hall states at a half-filled Landau level are believed to carry an integer number $\mathcal{C}$ of chiral Majorana edge modes, reflected in their thermal Hall conductivity. We show that this number determines the primary…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Evgenii Zheltonozhskii , Ady Stern , Netanel H. Lindner

We study the role of anisotropy on the transport properties of composite fermions near Landau level filling factor $\nu=1/2$ in two-dimensional holes confined to a GaAs quantum well. By applying a parallel magnetic field, we tune the…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 M. A. Mueed , D. Kamburov , S. Hasdemir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Multicomponent quantum Hall effect, under the interplay between intercomponent and intracomponent correlations, leads us to new emergent topological orders. Here, we report the theoretical discovery of fractional quantum hall effect of…

Strongly Correlated Electrons · Physics 2022-07-01 Tian-Sheng Zeng

We derive effective Hamiltonians for the fractional quantum Hall effect in n=0 and n=1 Landau levels that account perturbatively for Landau level mixing by electron-electron interactions. To second order in the ratio of electron-electron…

Strongly Correlated Electrons · Physics 2013-06-26 Inti Sodemann , A. H. MacDonald

The composite-fermion approach as formulated in the fermion Chern-Simons theory has been very successful in describing the physics of the lowest Landau level near Landau level filling factor 1/2. Recent work has emphasized the fact that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Felix von Oppen , Bertrand I. Halperin , Steven H. Simon , Ady Stern

Due to its extremely rich phase diagram, the two-dimensional electron gas exposed to perpendicular magnetic field has been the subject of intense and sustained study. One particularly interesting problem in this system is that of the…

Strongly Correlated Electrons · Physics 2020-03-24 Katherine A. Schreiber , Gábor A. Csáthy

It is demonstrated that an understanding of the 5/2 fractional quantum Hall effect can be achieved within the composite fermion theory without appealing to the Pfaffian wave function. The residual interaction between composite fermions…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Csaba Toke , Jainendra K. Jain

In this paper we study fractional quantum Hall composite fermion wavefunctions at filling fractions \nu = 2/3, 3/5, and 4/7. At each of these filling fractions, there are several possible wavefunctions with different spin polarizations,…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Simon C. Davenport , Steven H. Simon

The mean field (MF) composite Fermion (CF) picture successfully predicts the band of low lying angular momentum multiplets of fractional quantum Hall systems for any value of the magnetic field. This success cannot be attributed to a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John J. Quinn , Arkadiusz Wojs

We investigate the feasibility of many candidate quantum Hall states for two-component bosons in the lowest Landau level. We identify interactions for which spin-singlet incompressible states occur at filling factors $\nu=2/3$, 4/5 and 4/3,…

Strongly Correlated Electrons · Physics 2013-06-25 Ying-Hai Wu , Jainendra K. Jain

A proposal of the existence of an {\em Anomalous} phase ($\mathcal{A}$ phase) [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.131.056202 Das et al., Phys. Rev. Lett. 131, 056202 (2023)] at the experimental range of moderate…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Sudipto Das , Sahana Das , Sudhansu S. Mandal

Strong interactions and topology drive a wide variety of correlated ground states. Some of the most interesting of these ground states, such as fractional quantum Hall states and fractional Chern insulators, have fractionally charged…

Strongly Correlated Electrons · Physics 2023-02-07 V. Shingla , Haoyun Huang , A. Kumar , L. N. Pfeiffer , K. W. West , K. W. Baldwin , G. A. Csáthy

We construct a family of BCS paired composite fermion wavefunctions that generalize, but remain in the same topological phase as, the Moore-Read Pfaffian state for the half-filled Landau level. It is shown that for a wide range of…

Mesoscale and Nanoscale Physics · Physics 2008-02-21 Gunnar Moller , Steven H. Simon

The interplay between strongly correlated liquid and crystal phases for two-dimensional electrons exposed to a high transverse magnetic field is of fundamental interest. Through the non-perturbative fixed phase diffusion Monte Carlo method,…

Strongly Correlated Electrons · Physics 2018-09-25 Jianyun Zhao , Yuhe Zhang , J. K. Jain

In two-dimensional (2D) electron systems under strong magnetic fields, interactions can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors to proximity, a new set of correlated states can emerge due to interactions…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Xiaomeng Liu , Zeyu Hao , Kenji Watanabe , Takashi Taniguchi , Bertrand Halperin , Philip Kim

We report the observation of developing fractional quantum Hall states at Landau level filling factors $\nu = 1/2$ and 1/4 in electron systems confined to wide GaAs quantum wells with significantly $asymmetric$ charge distributions. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 J. Shabani , T. Gokmen , Y. T. Chiu , M. Shayegan
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